Find the Value of the Chi-Square Test Statistic for the Goodness-Of-Fit

question 25

Multiple Choice

Find the value of the chi-square test statistic for the goodness-of-fit test.
-You wish to test the claim that workplace accidents are distributed on workdays as follows: Monday: 25\%, Tuesday: $15 \%$ , Wednesday: $15 \%$ , Thursday: $15 \%$ , Friday: $30 \%$ . In a study of 100 workplace accidents, 24 occurred on a Monday, 15 occurred on a Tuesday, 13 occurred on a Wednesday, 14 occurred on a Thursday, and 34 occurred on a Friday. What is the value of the $\chi ^ { 2 }$ test statistic? The observed frequencies and the expected frequencies are shown below.
$\begin{array}{r|c}\begin{array}{r}\text { Observed } \\\text { Frequency }(\mathrm{O}) \end{array} & \begin{array}{r}\text { Expected } \\\text { Frequency (E) }\end{array} \\\hline 24 & 25 \\15 & 15 \\13 & 15 \\14 & 15 \\34 & 30\end{array}$

• A)\(\chi ^ { 2 } = 7.333\)
• B) \(\chi ^ { 2 } = 0.907\)
• C) \(\chi ^ { 2 } = 0.891\)
• D) \(\chi ^ { 2 } = 3.143\)

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